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Simplifying 3b + -1(b + 1) = 3(b + -5) Reorder the terms: 3b + -1(1 + b) = 3(b + -5) 3b + (1 * -1 + b * -1) = 3(b + -5) 3b + (-1 + -1b) = 3(b + -5) Reorder the terms: -1 + 3b + -1b = 3(b + -5) Combine like terms: 3b + -1b = 2b -1 + 2b = 3(b + -5) Reorder the terms: -1 + 2b = 3(-5 + b) -1 + 2b = (-5 * 3 + b * 3) -1 + 2b = (-15 + 3b) Solving -1 + 2b = -15 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -1 + 2b + -3b = -15 + 3b + -3b Combine like terms: 2b + -3b = -1b -1 + -1b = -15 + 3b + -3b Combine like terms: 3b + -3b = 0 -1 + -1b = -15 + 0 -1 + -1b = -15 Add '1' to each side of the equation. -1 + 1 + -1b = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -1b = -15 + 1 -1b = -15 + 1 Combine like terms: -15 + 1 = -14 -1b = -14 Divide each side by '-1'. b = 14 Simplifying b = 14
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